Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
840g |
Isogeny class |
Conductor |
840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
205752960000 = 210 · 38 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1720,-16100] |
[a1,a2,a3,a4,a6] |
j |
549871953124/200930625 |
j-invariant |
L |
1.527981036942 |
L(r)(E,1)/r! |
Ω |
0.76399051847101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1680h3 6720w3 2520g3 4200k3 |
Quadratic twists by: -4 8 -3 5 |